On certain classes of Galois extensions of rings (Q5931279)

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scientific article; zbMATH DE number 1590792
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English
On certain classes of Galois extensions of rings
scientific article; zbMATH DE number 1590792

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    On certain classes of Galois extensions of rings (English)
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    13 February 2003
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    The aim of this paper is to investigate relations between the following classes of Galois extensions of noncommutative rings: centrally projective Galois extensions, faithfully Galois extensions, and \(H\)-separable Galois extensions. It is shown that the intersection of the class of centrally projective Galois extensions and the class of faithfully Galois extensions is precisely the class Azumaya Galois extensions.
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    Galois extensions of noncommutative rings
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    centrally projective Galois extensions
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    faithfully Galois extensions
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    \(H\)-separable Galois extensions
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    Azumaya Galois extensions
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